You have some short$-$term continuous gauge data from a study that you did recently. The data can be found in the file named: Continuous ST R$.$dat. You had $2$ operators measure $25$ different specimens $5$ times each according to the procedures that you know for conducting short$-$term continuous data Measurement Systems studies. The study involved several different parts that were made to different targets $($to exercise the range of the gage$),$ but they all have the same specification which is $25+/-3\mathrm{.}5$ units for them all.

Based on your MSA analysis, answer the following questions.

What is the p$-$value of the test for the significance of the relationship between the mean and standard deviation for Operator $2?$ Record your answer to $4$ digits after the decimal point.

use R studio program to solve

and the data down

Trial Part Measure

$1124\mathrm{.}76$

$1225\mathrm{.}81$

$1324\mathrm{.}05$

$1423\mathrm{.}73$

$1524\mathrm{.}89$

$1624\mathrm{.}74$

$1724\mathrm{.}74$

$1824\mathrm{.}40$

$2124\mathrm{.}63$

$2225\mathrm{.}90$

$2324\mathrm{.}16$

$2423\mathrm{.}97$

$2524\mathrm{.}81$

$2624\mathrm{.}95$

$2724\mathrm{.}79$

$2824\mathrm{.}18$

$3124\mathrm{.}68$

$3226\mathrm{.}01$

$3324\mathrm{.}37$

$3423\mathrm{.}90$

$3525\mathrm{.}02$

$3624\mathrm{.}82$

$3724\mathrm{.}88$

$3824\mathrm{.}19$

$4124\mathrm{.}70$

$4225\mathrm{.}97$

$4324\mathrm{.}04$

$4423\mathrm{.}95$

$4524\mathrm{.}92$

$4624\mathrm{.}78$

$4724\mathrm{.}77$

$4824\mathrm{.}22$

$5124\mathrm{.}82$

$5225\mathrm{.}88$

$5324\mathrm{.}11$

$5423\mathrm{.}84$

$5524\mathrm{.}83$

$5624\mathrm{.}85$

$5724\mathrm{.}88$

$5824\mathrm{.}27$

$6124\mathrm{.}56$

$6225\mathrm{.}75$

$6324\mathrm{.}20$

$6423\mathrm{.}78$

$6525\mathrm{.}08$

$6624\mathrm{.}83$

$6724\mathrm{.}59$

$6824\mathrm{.}38$

$7124\mathrm{.}84$

$7226\mathrm{.}01$

$7324\mathrm{.}19$

$7423\mathrm{.}81$

$7524\mathrm{.}71$

$7625\mathrm{.}05$

$7724\mathrm{.}83$

$7824\mathrm{.}28$

$8124\mathrm{.}78$

$8226\mathrm{.}12$

$8324\mathrm{.}05$

$8423\mathrm{.}87$

$8524\mathrm{.}92$

$8625\mathrm{.}04$

$8724\mathrm{.}81$

$8824\mathrm{.}31$

$9124\mathrm{.}61$

$9225\mathrm{.}88$

$9324\mathrm{.}07$

$9423\mathrm{.}82$

$9524\mathrm{.}95$

$9624\mathrm{.}73$

$9724\mathrm{.}82$

$9824\mathrm{.}33$

$10124\mathrm{.}68$

$10225\mathrm{.}85$

$10324\mathrm{.}03$

$10424\mathrm{.}04$

$10524\mathrm{.}86$

$10624\mathrm{.}80$

$10724\mathrm{.}82$

$10824\mathrm{.}25$

$11124\mathrm{.}51$

$11225\mathrm{.}90$

$11323\mathrm{.}78$

$11423\mathrm{.}99$

$11524\mathrm{.}79$

$11624\mathrm{.}98$

$11724\mathrm{.}81$

$11824\mathrm{.}39$

$12124\mathrm{.}77$

$12225\mathrm{.}77$

$12324\mathrm{.}22$

$12423\mathrm{.}75$

$12525\mathrm{.}03$

$12624\mathrm{.}90$

$12724\mathrm{.}84$

$12824\mathrm{.}21$

$13124\mathrm{.}63$

$13225\mathrm{.}88$

$13324\mathrm{.}13$

$13424\mathrm{.}00$

$13524\mathrm{.}95$

$13624\mathrm{.}91$

$13724\mathrm{.}69$

$13824\mathrm{.}13$

$14124\mathrm{.}63$

$14225\mathrm{.}93$

$14324\mathrm{.}20$

$14423\mathrm{.}97$

$14525\mathrm{.}00$

$14624\mathrm{.}83$

$14724\mathrm{.}62$

$14824\mathrm{.}46$

$15124\mathrm{.}52$

$15225\mathrm{.}82$

$15324\mathrm{.}24$

$15423\mathrm{.}95$

$15524\mathrm{.}69$

$15624\mathrm{.}83$

$15724\mathrm{.}73$

$15824\mathrm{.}43$

$16124\mathrm{.}67$

$16225\mathrm{.}98$

$16324\mathrm{.}18$

$16423\mathrm{.}84$

$16524\mathrm{.}88$

$16624\mathrm{.}86$

$16724\mathrm{.}68$

$16824\mathrm{.}46$

$17124\mathrm{.}57$

$17225\mathrm{.}92$

$17323\mathrm{.}94$

$17424\mathrm{.}11$

$17525\mathrm{.}00$

$17624\mathrm{.}86$

$17724\mathrm{.}80$

$17824\mathrm{.}23$

$18125\mathrm{.}05$

$18226\mathrm{.}23$

$18324\mathrm{.}17$

$18424\mathrm{.}03$

$18525\mathrm{.}13$

$18625\mathrm{.}16$

$18724\mathrm{.}98$

$18824\mathrm{.}54$<

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